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Finding the Fourth Proportional to 340,059.72, 509,646.72 and 211,923.36

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Solution

The fourth proportional to 340,059.72, 509,646.72 and 211,923.36 is: 317,609.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,059.72 : 509,646.72 = 211,923.36 : x
  2. Step 2: Convert to fraction form
    340,059.72/509,646.72 = 211,923.36/x
  3. Step 3: Cross multiply
    340,059.72x = 509,646.72 × 211,923.36
  4. Step 4: Simplify right side
    340,059.72x = 108,006,045,315.38
  5. Step 5: Solve for x
    x = 108,006,045,315.38/340,059.72
  6. Step 6: Final answer
    x = 317,609.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.